Compactifying Moduli Spaces

Compactifying Moduli Spaces

Paperback(1st ed. 2016)

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Product Details

ISBN-13: 9783034809207
Publisher: Springer Basel
Publication date: 02/05/2016
Series: Advanced Courses in Mathematics - CRM Barcelona
Edition description: 1st ed. 2016
Pages: 135
Product dimensions: 6.61(w) x 9.45(h) x (d)

Table of Contents

Foreword.- 1: Perspectives on moduli spaces.- The GIT Approach to constructing moduli spaces.- Moduli and periods.- The KSBA approach to moduli spaces.- Bibliography.- 2: Compact moduli of surfaces and vector bundles.- Moduli spaces of surfaces of general type.- Wahl singularities.- Examples of degenerations of Wahl type.- Exceptional vector bundles associated to Wahl degenerations.- Examples.- Bibliography.- 3: Notes on the moduli space of stable quotients.- Morphism spaces and Quot schemes over a fixed curve.- Stable quotients.- Stable quotient invariants.- Wall-crossing and other geometries.- Bibliography.

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